Hull ended a run of four consecutive league defeats thanks to Sone Aluko’s second-half equaliser at Everton.
Substitute Aluko twisted and turned defender Sylvain Distin before firing a low, angled shot past Tim Howard.
Everton took the lead when Romelu Lukaku fired in his sixth of the season from Kevin Mirallas’ pull-back.
Lukaku also had a late shot blocked by Craig Dawson, while Hull’s ex-Toffees striker Nikica Jelavic headed inches wide.
It was Everton’s central defence – their Achilles this season – that cost them victory against the visitors.
There were signs that it could prove a problem again when Jelavic twice brushed off the attentions of Distin – and it was the French defender who was at fault for the Hull equaliser.
Aluko, a replacement for the injured Mohamed Diame six minutes earlier, surged past the former Newcastle and Portsmouth defender down the left before rifling a low shot beyond the reach of Howard.
Hull then should have gone ahead moments later when Jelavic exploited more poor defending but the Croatia striker headed his effort inches past the keeper’s right-hand post.
It had all begun so well for the home side, who were looking to bounce back following their weekend defeat against Tottenham.
Lukaku was particularly prominent, combining a muscular ability to hold off defenders with a willingness to track back for his side.
But it is his prowess in front of goal which prompted Martinez into making him a permanent signing during the summer, and after a slow start he is starting to prove his worth.
He scored his latest goal – his third in four matches – after combining with Belgium team-mate Mirallas. The winger was in menacing form in the first half and picked out Lukaku, who converted the chance despite being at full stretch.
The £28m striker, who had an early firm effort well held by Allan McGregor, had a shot blocked by Dawson as Everton pushed for a late winner.
That was one of Everton’s few clear-cut efforts on goal after the break though, and despite eight minutes of stoppage time they failed to trouble McGregor again.